Answer:
[tex]6a^3+45b[/tex]
Step-by-step explanation:
[tex]2a\times a\times 3a+b\times 45[/tex]
[tex]2a\times 1a\times 3a+b\times 45[/tex]
[tex]2\times 1\times 3 \times a \times a \times a+b\times 45[/tex]
[tex]6a^3+b \times45[/tex]
[tex]=6a^3+45b[/tex]
Answer:
6a^3 + 45b
Step-by-step explanation:
=2a × a × 3a + b × 45
=2a × 1a × 3a + b × 45
=2 × 1 × 3 × a × a × a + b × 45
=6a^3 + b × 45
= 6a^3 + 45b
plzz answer this qustion i will make brainliest
Answer:
By the Pythagorean Theorem
[tex]DB=\sqrt{AD^2+AB^2}=\sqrt{8.9^2+17.6^2 } =19.72232[/tex]
In the figure triangles ABD(red) and ADE(green) are similars because:
AED=DAB=90
ADE common angle
Then [tex]\frac{AD}{BD}= \frac{AE}{AB}=\frac{DE}{AD}[/tex]
[tex]b=AE=\frac{AD\times AB}{BD}= \frac{8.9\times 17.6}{19.72}=7.94227[/tex]
Can u please answer this question in the picture below or above I guess
Answer: B. 72ᴼ alternate exterior angles theorem
Step-by-step explanation:
Alternate exterior angles because they’re angles on the outside of the transversal.
Alternate exterior angles are also congruent to each other, so that’s why 2 is congruent to 72ᴼ
What is the answer to 2+5(11-6)+12/3?
Answer:
39
Step-by-step explanation:
From left to right but first parenthesis
11-6=5
5+2=7
7x5=35
12/3=4
35+4=39
Answer:
39
Step-by-step explanation:
1. Never forget to use P.E.M.D.A.S
11 - 6 = 5
2 + 5 (5) + 12/3
39
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm
The complete question is;
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm
Answer:
60 cm. Option D is the correct answer
Step-by-step explanation:
From the image, the diagonals of the parallelogram bisect each other. Thus;
AE = EC and BE = ED
We are given that;
DE = 3y + 6 cm and BE = 5y - 10 cm, thus;
3y + 6 = 5y - 10
Rearranging, we have;
5y - 3y = 6 + 10
2y = 16
y = 16/2
y = 8 cm
The brace that bisects point B and D is BD. So, BD = BE + DE
So, BD = 5y - 10 + 3y + 6
BD = 8y - 4
Putting 8 for y to obtain;
BD = 8(8) - 4
BD = 64 - 4
BD = 60cm
Answer:
60 cm
Step-by-step explanation:
Calculating the Surface Area of a Triangular Prism The triangular prism shown has 1235 triangular face(s) and 1235 lateral face(s). The area of one triangular face is 7.58.1251517 mm2. The surface area of the triangular prism is 55.5127.5135150 mm2.
Corrected Question
The triangular prism shown has 1, 2, 3 or 5 triangular faces and 1,2,3, or 5 lateral faces.
The area of one triangular face is 7.5,8.125,15,or 17 [tex]mm^2[/tex]
The surface area of the triangular prism is 55.5,127.5,135,or 150 [tex]mm^2[/tex]
Answer:
(B)2 triangular faces
(C)3 lateral faces.
(A)Area of one Triangular Face [tex]=7.5mm^2[/tex]
(C)Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]
Step-by-step explanation:
The triangular prism is attached.
The triangular prism shown has 2 triangular faces and 3 lateral faces.
Base of the triangle =2.5mm
Height of the Triangle =6mm
Area of one Triangular Face [tex]=\frac{1}{2}*6*2.5=7.5mm^2[/tex]
The dimensions of the lateral rectangles are:
2.5 mm by 8mm6 mm by 8mm6.5 mm by 8mmTherefore, total surface area of the triangular prism
=2(Area of one Triangular Face)+Area of 3 rectangular faces
[tex]=2(7.5)+ (2.5 X 8+ 6 X 8 + 6.5 X 8)\\=15+120\\=135mm^2[/tex]
Total Surface Area of the Triangular prism [tex]=135mm^2[/tex]
Answer:
A....2
B....3
C.....7.5
D......135
Step-by-step explanation:
At a pet store, Davina counted 12 parrots out of 20 birds. Which is an equivalent ratio of parrots to birds at the pet store?
Answer:
3 to 5 This is because if you simplify the ratio by dividing each number in the ratio by 4, therefore for every group of 5 birds 3 of them are parrots
Step-by-step explanation:
Answer:
answer d
Step-by-step explanation:
edg 2020
What is the discriminant of the quadratic equation 0 = 2x² + 3x - 5?
-37
-31
43
49
Answer:
D 49
Step-by-step explanation:
just did it
Please help me asap!
Answer:
x value is 10 as per as the question its value is 10
Which of the following equations have infinitely many solutions? Choose all answers that apply:
Answer:
Options B, C and D.
Step-by-step explanation:
Those are the answers because when you solve the equation, the same values are on both sides of the equation. example option B;
-19x -19 = -19x-19
Add 19 to both sides of the equation to get rid of -19
-19x -19 +19 =-19x -19 +19
Divide both sides by -19
[tex]\frac{-19x}{-19} = \frac{-19x}{-19}[/tex]
x = x
Work out 4 x (1+5-8)
Answer:
-8
Step-by-step explanation:
1+5=6
6-8=-2
4x-2=-8
Answer:
8
Step-by-step explanation:
if you want to work this out use the order of operationsparenthesis is first (1+5-8)we would first do 1 + 5 = 6then 6-8which the answer would make negative6 - 8 = -2then you would do a positive x negative4 x -2 = 8cause a positive x negative = positivePlease answer correctly !!!! Will mark brainliest !!!!!!!!!!!!
Answer:
180 meters
Step-by-step explanation:
The function you have here is negative function meaning the function has a concave down parabola (if you graph it on desmos or a graphing calculator you'll see what I'm talking about).
So they gave it to you in factored form and asked you to find the max. The max of this function is at the vertex of the parabola. In order to find the vertex you have distribute or multiply to get the original polynomial.
-5(x-8)(x+4)
-5(x^2+4x-8x-32)
-5(x^2-4x-32)
-5x^2-20x-160
Vertex formula is: -b/2a
b = 20
a = -5
[tex]\frac{-20}{2(-5)}[/tex]
= 2
The x-coordinate of the vertex is 2.
Plug 2 into the equation
-5(2)^2+20(2)+160
= 180 meters
Mark the statements that are true.
A. An angle that measures
radians also measures 30°.
pi/6
O B. An angle that measures pi/3
radians also measures 45°
O C. An angle that measures 180° also measures pi radians.
D. An angle that measures 30° also measures pi/radians.
Answer:
Correct answers:
A. An angle that measures [tex]\frac{\pi}{6}[/tex] radians also measures [tex]30^o[/tex]
C. An angle that measures [tex]180^o[/tex] also measures [tex]\pi[/tex] radians
Step-by-step explanation:
Recall the formula to transform radians to degrees and vice-versa:
[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\ \\\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians[/tex]
Therefore we can investigate each of the statements, and find that when we have a [tex]\frac{\pi}{6}[/tex] radians angle, then its degree formula becomes:
[tex]\angle\,degrees=\frac{180^o}{\pi} \,* \,\angle radians\\\angle\,degrees=\frac{180^o}{\pi} \,* \,\frac{\pi}{6} \\\angle\,degrees=\frac{180^o}{6} \\\angle\,degrees=30^o[/tex]
also when an angle measures [tex]180^o[/tex] , its radian measure is:
[tex]\angle\,radians=\frac{\pi}{180^o} \,* \,\angle degrees\\\angle\,radians=\frac{\pi}{180^o} \,* \,180^o\\\angle\,radians=\pi[/tex]
The other relationships are not true as per the conversion formulas
Answer:
the person abive is correct jzt to confirm
the weights of cars passing over a Bridge have a mean of 3550 lb and a standard deviation of 870 lb. Assume that the weights of the cars passing over the bridge, Lee distributed. Use the empirical rule to estimate the percentage of the cars going over the bridge whose weights are more than 4420 lbs.
Answer:
a. 16%
Step-by-step explanation:
The difference from the mean is ...
(x - µ) = 4420 lb -3550 lb = 870 lb
Then the minimum Z-score of the traffic of interest is ...
(x - µ)/σ = (870 lb)/(870 lb) = 1
__
The "empirical rule" tells you that 68% of a normal distribution is within 1 σ (Z = ±1) of the mean. If 68% is inside that range, then the remaining 32% is outside that range. The normal distribution is symmetrical about the mean, so half that quantity is below Z = -1, and the other half, 16%, is above Z=1.
About 16% of the cars have weights more than 4420 pounds.
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
y= -x^2+5
Step-by-step explanation:
It normally expontionally goes up, so across the x axis is down so it is negative, and is is all scales up, so the start is 5 up from the origin on the y axis, so it would be y=-x+5
Hope this helped!
find the size of angle yxz give your answer to 3 significant figures 20cm 8cm
tan X = |YZ| / |XZ| = 20/8 = 5/2
X = arctan(5/2) = 68.2°
Answer: 68.2°
The size of angle ∠YXZ is 68.3° given that sides YZ=20cm and XZ=8cm by using trigonometric ratios.
What are trigonometric ratios?In a right angled triangle, if A is an angle other than right angle then trigonometric ratios are
sin A =[tex]\frac{opposite side}{hypotenuse}[/tex]
cos A=[tex]\frac{adjacent side}{hypotenuse}[/tex]
tan A =[tex]\frac{opposite side}{adjacent side}[/tex]
Calculate the angle ∠YXZGiven YZ=20cm and XZ=8cm
Since the triangle is right angled, and opposite side and adjacent side are given we can find tan(∠YXZ )
tan (∠YXZ ) =20/8 =2.5
∠YXZ = arctan (2.5) =68.2°
Hence the size of angle ∠YXZ is 68.2° given that sides YZ=20cm and XZ=8cm.
Learn more about trigonometric ratios here :
brainly.com/question/22384999
#SPJ2
Please help me with my question!!
We know that the area of each tile is 3 1/2in^2
All we need to do is divide.
210 / 3.5 = 60
So, she will need 60 tiles to cover the entire bathroom floor.
Best of Luck!
Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$___
Answer:
$4
Step-by-step explanation:
Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!
I NEED HELP! WILL BE GIVING BRAINLIEST TO THE CORRECT ANSWER + 30 POINTS!!!!
Answer:
l = 20 cm
w = 12 cm
Step-by-step explanation:
P = 64 = 2w + 2l
2w = 4 + l
64 = 4 + l + 2l
64 - 4 = 3l
3l = 60
l = 20 cm
2w = 20 + 4
2w = 24
w = 12 cm
find the length of each side of a square field whose area is 608 sq.m
Answer:
a=24.65 sq.m
Step-by-step explanation:
A=[tex]a^{2} or l^{2}[/tex]
608=[tex]a^{2}[/tex]
[tex]a=\sqrt{608}[/tex]
[tex]a=24.65[/tex]
To check your answer
[tex]A=a^{2} \\A=24.65^{2}\\A=24.65*24.65\\A=607.6225=608[/tex]
[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula and solve
Answer:
x= 8, 3
Step-by-Step Explanation:
[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]
[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]
Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 26
miles per gallon on the highway if your average speed is 45
miles per hour, and it averages 18
miles per gallon on the highway if your average speed is 65
miles per hour. Answer parts (a) and (b) below.
a. What is the driving time for a 2500
-mile
trip if you drive at an average speed of 45
miles per hour? What is the driving time at 65
miles per hour?
Answer:
Step-by-step explanation:
Suppose the car mileage actually varies slightly with the driving speed of the car
Suppose your car averages 26 miles per gallon on the highway if your average speed is 45 miles per hour,
and it averages 18 miles per gallon on the highway if your average speed is 65 miles per hour.
The driving time for a 2500-mile trip if you drive at an average speed of 54 miles per hour
[tex]= \frac{Distance}{Speed} = \frac{2500 }{45} \\\\= 55.56 hours.[/tex]
The driving time for a 2500-mile trip if you drive at an average speed of 65 miles per hour
[tex]= \frac{Distance}{Speed} = \frac{2500 }{65} \\\\= 38.46 hours.[/tex]
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below. Use the graph to complete each statement about this situation. The maximum profit the florist will earn from selling celebration bouquets is $___ . The florist will break-even after ______ one-dollar decreases. The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (___,____).
Answer:
First space: 15
Second space: 20
Third space: 0
Fourth space: 20
Step-by-step explanation:
If the florist decrease x times the value of the bouquet by 1, the number of bouquets sold is 30 plus 3 times x, so we have that:
P(x) = (20 - x)*(30+3x)
P(x) = 600 +30x - 3x2
The vertical axis of the graph represents the profit P(x) of the florist.
So observing the graph, we can see that the maximum profit is 675, and occurs when the value of x is 5, that is, the price of the bouquet is 20 - 5*1 = $15
Looking again to the graph, we see that when x = 20 her profit is zero (the price of each bouquet will be 20 - 20*1 = 0)
The interval of x for which the florist have a positive profit (P(x) > 0) is between x = -10 and x = 20, but the florist cannot make a negative number of one-dollar decrease, so the lower number in the interval should be 0.
Answer:
675
20
(0,20)
Step-by-step explanation:
a) (7x10^5)x(3x10^2) in standard form b) (2x10^5)/(4x10^2) in standard form
The given expressions written in standard form are;
A) 21 × 10⁷
B) 5 × 10²
This is about expression of given algebra in standard form making use of laws of indices.
A) We are given;
(7 × 10⁵) × (3 × 10²)
Now according to the law of indices, when we want to multiply 2 numbers with same bases and different exponents, we retain the bases and add the exponents.
Also, when we want to multiply 2 numbers with different bases and same exponent, we multiply the bases and retain the exponent.
Applying that to our question gives;
(7 × 3)¹ × (10)⁽⁵ ⁺ ²⁾
⇒ 21 × 10⁷
B) We are given;
(2 × 10⁵)/(4 × 10²)
According to the law of indices, when we want to divide 2 numbers with same bases and different exponents, we retain the bases and subtract the exponents.
Also, when we want to divide 2 numbers with different bases and same exponent, we divide the bases and retain the exponent.
Thus;
(2/4)¹ × (10)⁽⁵ ⁻ ²⁾ = 0.5 × 10³
0.5 can also be expressed as; 5 × 10⁻¹
Thus, 5 × 10⁻¹ × 10³ = 5 × 10²
Read more at; brainly.in/question/18681990
What is the completely factored form of f(x) = 683 – 1332 - 4x + 15?
Answer:-637
Step-by-step explanation:
What’s the answer I need help plssssssssss
Answer:
[tex]\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]
So A is the answer
Step-by-step explanation:
[tex]y=\frac{19}{x^3}\\\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y\\x=\frac{19}{y^3}\\\mathrm{Solve}\:x=\frac{19}{y^3}\:\mathrm{for}\:y\\y=\sqrt[3]{\frac{19}{x}}\\\sqrt[3]{\frac{19}{x}}\\\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]
Describe ways you could look at two shapes and tell that one is not the image of the other under a rigid transformation
Answer:
see below
Step-by-step explanation:
a rigid transformation preserves lengths and angles
if the shapes don't look the same or they are the same shape but smaller or bigger than the other one it's not a rigid transformation
if the corresponding angles are the same that works too
Pythagorean theorem plsssss
Step-by-step explanation:
pythagorean theorem states
c²=a²+b² where c is the longest line a is the base while b is the height thus
example
1)c²=a²+b²
12²=a²+8²
144=a²+64.
144-64=a²
80=a² a=√80. =8.9
2)c²=a²+b²
15²=4²+b²
225=16+b²
225-16=b²
209=b² b=√209. =14.45
3)c²=a²+b²
c²=5²+9²
c²=25+81
c²=106. c=√106. =10.295
I hope you have understood I will do the other ones simply
4)26²=18²+a²
676-324=a²
√352=a. a=18.761
5)10²-6²=b²
100-36=b² b²=64. b=8
6)c²=12²+9²
=144+81.
c² =225. c=15
1...
Formula= A=C^2-B^2
A=12^2-8^2
A=144-64
144-64=80
√80 = 8.944
Rounded = 8.9
2...
Formula= A=C^2-B^2
A=15^2-4^2
A= 225-16
225-16=209
√209= 14.456
Rounded= 14.5
3...
Formula= A^2+B^2=C^2
9^2+5^2=C^2
81+25=106
√106= 10.295
Rounded= 10.3
4...
Formula= A^2=C^2-B^2
A^2= 26^2-18^2
A^2=676-324
676-324=352
√352=18.761
Rounded= 18.8
5...
A^2=C^2-B^2
A^2=10^2-9^2
100-91=9
√9=3
6...
Formula= A^2+B^2=C^2
9^2+12^2=C^2
81+144=225
√225=15
Code= 8.9, 14.5, 10.3, 18.8, 3, 15.
When will 4a ≤ 16 be true?
Answer:
It will be true when a ≤ 4
Step-by-step explanation:
You can plug in the number to see if it is correct. 4(4) ≤ 16. Sorry, I'm not the best at explaining things.
Find the values of x and y in the diagram.
Answer:can you put some angle degrees on it plz
Step-by-step explanation:
Please answer correctly !!!!!!! Will mark brianliest answer !!!!!!!!!!
Answer:
g(-4) =1
Step-by-step explanation:
g(-4) we want to find the value of the graph when x = -4
Got over to x=-4
Got up to the blue line
read the value of the y coordinate
y=1
g(-4) =1